Domain of radical function multiplied by x

The video tutorial reviews the previous class and introduces the concept of identifying the domain of a function. It discusses the properties of the function X, noting that it is linear and has no discontinuities. The tutorial explains the domain restrictions when dealing with radicals, emphasizing that the values under the radical must be greater than or equal to zero. The instructor demonstrates solving inequalities to find the domain, which is all numbers greater than 1/3. The video concludes with a discussion on graphing the domain and a reminder about multiplication and division rules.

What is the nature of the function X when it is outside a radical?

• It is a quadratic function.

• It is a linear function with no restrictions.

• It imposes restrictions on the domain.

• It has discontinuities.

What condition must be met for the expression under the radical to determine the domain?

• The radicand must be less than zero.

• The radicand must be greater than or equal to zero.

• The radicand must be equal to zero.

• The radicand must be a positive integer.

What is the inequality that needs to be solved to find the domain of the function?

• X < 1/3

• X = 1/3

• X > 1/3

• X ≥ 1/3

How can the solution to the inequality be represented graphically?

• As a point on the number line.

• As a circle on the number line.

• As a line segment from negative infinity to 1/3.

• As a line segment from 1/3 to infinity.

What is the domain of the function after solving the inequality?

• All numbers less than or equal to 1/3.

• All numbers equal to 1/3.

• All numbers less than 1/3.

• All numbers greater than 1/3.